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Essential dimension of finite p-groups

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We prove that the essential dimension and p-dimension of a p-group G over a field F containing a primitive p-th root of unity is equal to the least dimension of a faithful representation of G over F.

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Authors and Affiliations

  1. Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), 4 place Jussieu, 75252, Paris Cedex 05, France

    Nikita A. Karpenko

  2. Department of Mathematics, University of California, Los Angeles, CA, 90095-1555, USA

    Alexander S. Merkurjev

Authors
  1. Nikita A. Karpenko
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  2. Alexander S. Merkurjev
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Correspondence to Nikita A. Karpenko.

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Mathematics Subject Classification (2000)

20G15; 14C35

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Karpenko, N., Merkurjev, A. Essential dimension of finite p-groups. Invent. math. 172, 491–508 (2008). https://doi.org/10.1007/s00222-007-0106-6

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  • DOI: https://doi.org/10.1007/s00222-007-0106-6

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